["Does not count" is a bit strong. For me, it's always a choice of weighing cost vs. value. "Free" is almost always
somehow added to the cost, even at WDW resorts.
When last I used the shuttle buses at the MWC they were free, before the Great Recession. (see below)
Also-Orlando is served by several airports, namely MCO, and the smaller Sanford (Allegiant Air) (Tampa and Daytona are also reasonably close). Disney's free shuttle only runs to MCO, so even Disney's free shuttle has a important limit, if you live near an airport served by Allegiant.
Again I'll say, I when I stay offsite I get a rental car. I offset part of the cost by including a grocery store trip. Any free shuttle bus/transportation- even Disney's - cost time. It is quite a bit faster to get from MCO to a hotel using an on-airport rental car place than it is to take the Magic Express shuttle (Which is basically Mears). One time we rented a car, and half of us took the ME. The rental car got to AKL over an hour faster. Since getting to Orlando is not free, and vacation time is finite, cost is always a factor. I also would not put any of the Marrriott properties in the 'budget' price range.
Here's what I found, which is probably pretty typical:
From Marriott's website:Transportation at Orlando World Center
Airport:
Mears Transportation operates shuttle service to/from the resort and the Orlando Airport. Tickets may be purchased at the Mears desk on the baggage level of the airport and cost $34.00 round trip per adult and $23.00 per child (ages 4-11) ($21 adult and $15 child one-way). Children under 4 ride for free. Reservations from the resort to the airport are required four hours prior to airline departure time. Reservations from the airport to the resort are not necessary in advance as shuttles operate 24 hours per day and leave every 15-20 minutes. The World Center is the first stop from the airport.
Walt Disney World Theme Parks:
Shuttle service from the hotel to the Disney attractions is available by 90-minute advance reservation for scheduled morning departure times. The cost is $15.00 roundtrip for adults or children.
Children under four years are free.
As I said before, generally speaking, if you don't have a car, and don't want to pay for a taxi/towncar, then Mears is the other well known game in town.
From the Swan Dolphin website:
Yes, there is transportation to/from the Orlando International Airport. The fees are listed below*.
From airport to hotel (one-way fee*): Approximately
Sedan (up to 4 people) $82.00
SUV (up to 5 people) or VAN (up to 8 people) $97.00
Taxi Service $70.00
Limousine (up to 8 people - includes 15% gratuity) $219.75
From hotel to airport (one-way fee*): Approximately
Sedan (up to 4 people) $67.00
SUV (up to 5 people) or VAN (up to 8 people) $67.00
Taxi Service $60.00
Limousine (up to 8 people - includes 15% gratuity) $189.75
Note: While our limousines hold 8 passengers, large amounts of luggage may require an additional vehicle. (WOW!

)
Mears Transportation - Shuttle Services to/from Orlando International Airport: Approximately
Per Adult $21.00 (one-way) $34.00 (round trip)
Per Child (ages 4-11) $17.00 (one-way) $27.00 (round trip)
*All prices are approximate and subject to change.
Mears is the preferred service provider for transportation for the Walt Disney World Swan and Dolphin. To make your transportation reservations, click here.
There's also SuperShuttle.
From Mousesavers.com: about the buses offered at the DTD resorts:
Royal Plaza is one of the Downtown Disney resorts, which operate their own bus system to the theme parks. The Downtown Disney buses run all day (from before park opening until after park closing) about every half-hour, and are much better than the transportation offered by most non-Disney resorts around Walt Disney World. In fact, the buses are more comfortable than Disney’s own buses! However, be aware that the drop-off point is slightly further from the theme park gates than the Disney resort bus drop-off, so there’s a little extra walking.
Also- looking at the Marriott Village hotels, it IS possibleto get a 'package deal' which includes 'free' transportation to the parks- for up to four guests,
and breakfast. On the general info page for Springhill suites: Alternate transportation: Mears Transportation; fee: 40 USD (one way) ;reservation required
Estimated taxi fare: 50 USD (one way)