I advise anyone and everyone in your situation to take at least 1 year off from any and all communications with their ex wayward spouse.
It's the most healthy thing to do.
I mean look at this situation where your ex-wife is pouring out fake feelings toward you and giving you crocodile tears. It's just so inappropriate and hurtful.
The longer you stay attached to her the longer you will stay attached to her. It'll make any and all your future relationships all that more difficult.
IF she really wanted to reconcile she'd know the requirements (I presume you told her long ago) so until then - don't allow her to speak to you really at all. If she has to say something about the kids text you. If she abuses text - go to email and have someone neutral screen your emails to take out personal statements.
YOU MATTER - protect your own recovery and emotional health.
How about you respond saying 'Your feelings are really none of my business".
The internet is 90% complaining and entitlement and I hate it because I deserve better!