FWIW, I would want to see the requests submitted before I make any judgement here.
If a player sends me an e-mail saying : ''I've decided to play on another site, please close my account'', I would consider trying to keep that player. I'd ask what we could do to match or improve what they get elsewhere for instance. Believe it or not there are even some players who request closure in the HOPES of a bonus offer!

I dont see this as nefarious in any way.
If, however, the player sends a mail saying : ''I want this account closed due to a gambling problem', then boom, it's closed and that's the end of it.
Would you mind telling us how you phrased the requests irmster?