I only have 1 babies worth of experience to go from, but the general answer was no, my baby didn't necessarily sleep better directly after being fed. Her actual sleep was pretty much the same regardless of whether it had followed play or feeding. So we mostly did F-P-S. In fact she wasn't really very good at feeding to sleep (would go to sleep then wake up 5-10 minutes later) so even when she was going through a growth spurt and wanted F-P-F-S there would need to a bit of awake time between the feed and the sleep to ensure she stayed asleep. A bit weird but it worked so we did that.

But as the others have said different babies have different preferences so there is no hard and fast rules, more like a variety of different strategies that you try out until you hit the one that works for you.