Okay..... my story.....
we were looking for quick inexpensive floor for the new mudroom. We installed the Traffic Master brand of peel and stick floor tiles from Home Depot. They have a LIFETIME warranty in residential settings. I installed it over that really thin plywood type stuff (having a blonde moment... can't remember exact name....veneer maybe??). I used an "adhesive prep" type stuff called 336 Henry Floor Primer (looks like you are painting on very watery white paint), and made sure to lay the tiles while it was VERY COLD in the room. That way when the temp went up and the tiles expanded, the cracks/seams were almost invisible.
It looked so well and lasted well, so a year or so later we installed it in the kitchen over existing sheet vinyl. We used Superglue to adhere down one or two areas where the vinyle was lifting, used a stripper to remove any residue from the vinyl and used the Floor Primer again. We did the same thing with the temperature.... laid the floor in early spring on a cold day, opened the windows. We probably worked in 50° temps all day! But I believe it did help keep the seams tight.
A few things we did right.... even though we kept the temp low, we still really butted the tiles up tight together..... we really cleaned and prepped the subfloor well..... we bought professional grade knee pads, which I would consider a necessity...... we tried to make sure that no two like tiles are touching each other (the tile we bought had a repeat of about 5 or 6.... we gave each tile a name, stacked them together by name, and it was much easier to make sure we ended up with a random, realistic looking "pattern").
Since our tile pattern is made to look like ceramic tile with grout in between, we had to be careful about cut tiles around the edges of doors, etc. And since it is a VERY THICK commercial grade tile, it was difficult to cut..... we ended up with very sore hands! Get some good heavy duty shears if you need to cut thick tile. And when we were done we mixed some caulk the same color as the grey "grout" lines in the tile and did around the edges of the door frames, etc, where the tile didn't exactly meet up snug.
We have had this floor in our kitchen/half bath/laundry room for about 3 years now and in the mudroom for 4 years. We only have one spot in the kitchen the occasionally pops up along one edge. I think we cut the tile too snug there.... I keep meaning to lift the edge of the tile and put down some extra adhesive, but it seems to only bother me when I wash the floor.
BTW, I did the mudroom myself in a day (a loooong day), and DH and I did the kitchen/bathroom area together over a weekend (without the kids!).
I say give it a try if you are willing to spend a bit more on the better tiles. But if you are going to buy the low end, I wouldn't bother. I don't think you would be happy with them in the end. Good luck. PM me if you want any additional info.......................P