I hope my situation can give you some reassurance that the naps aren't gone forever yet!
DS1 started talking and chatting to himself when first put in his room for his nap, when previously he'd just roll over and go to sleep. I think he was about 2 when this change happened. He would drop off to sleep after about 1/2 an hour, though. Over time the playing became longer and his nap shorter. I thought for sure he was dropping it

. Then came a period where he would happily play in his room for up to 2 hours (hellajulah!) but then call out to get up after that time and those days we obviously had no nap and an early bedtime. We then got to the stage where he was really only napping on DC days and I braced myself for him dropping the nap completely at home. Lo and behold, two months ago he started napping again!! There was no change to our routine, except I suppose I'd put him down a little earlier, at the same time as DS2, I guess to give myself a break. In hindsight, as he got older his nap time was creeping up later and later as I had to attend to DS2 first and found it easier if I held him off for a little while. Maybe he was just too overtired to nap?? Or maybe it was the bribe of a Tick Tock biscuit if he was quiet and had a little sleep

Either way, I'm not complaining!
For the record, DS turns 3 next month!! So 12 months ago I was certain he was in the process of dropping it but here we are still napping, to the envy of some of my friends.
I would certainly persevere with quiet time in your DD's room. This was my "recharge" period during the day, enough to put my feet up, have a cuppa (survey all the housework that needed doing

) and just have a bit of a breather before the boys got up and round 2 began. I am still keeping up my sleeve the option of watching a quiet DVD in the lounge for when he starts fighting me on actually going into his room. This will be the next step, I'm sure!
HTH!