I'm not 100% sure. A chipmodded console is of course intended to run burned discs without any ESR patch, but many will just ignore the ESR patching and run such discs just as well as normal unpatched backups. The DMS4pro I have in my v7 SCPH-39004 PS2 is one such chip, and I assume it works this way with most chips. But there is no guarantee of it...
My children have chipmod, (older is 7 years old, younger is 4 years old, what do you think, what they do to discs? This way, ill make backup whenever is needet, once a month at least :D) i will use softmod, when i need, and thats it.
Will all patched and burned ISOs work on chipmodded with no problem?