If the difference is that small I would stay onsite. We are talking less than 50 euro per person. In the grand scheme of money you are going to spend on this trip...
You can also look at Santa Fe to stay onsite. It is cheaper than Sequoia.
Don't forget to check the different country sites. US is usually the most expensive, not sure about Canada tbh, but the different EU country websites of dlp are usually cheaper.
To get over your jetlag, having a park ticket on your arrival day might help. Arrive at the hotel late afternoon. Rest. Settle in. Then go into the park for a few hours to get familiar with it. You do not need to stay till close (depending on the season the park closes somewhere between 9 and 11pm), but for a few hours it might be nice.
Also, what is the plans of the Dutch friend? He/she won't need rest to recover from a long flight. They could come in early and already go into the park before you arrive. Their energy level will differ from yours.