[Q] Do I need a SIM unlock on DInc2 with CM flashed?

I flashed Chillybeans unofficial CM 10.2 and it works great so far. I was wondering if I would still need to SIM "unlock" this phone to use it overseas or on a GSM carrier.

I have been using this old phone as a backup/media player on WiFi and currently is not active on any cellular carrier. I may want to use it when I travel since it a global phone.

Thanks

Thanks for the responses, but I am still a bit confused. OK so for more background, I am rooted, fully S-OFF, and have flashed an unofficial CM 10.2 ROM from this forum link http://xdaforums.com/showthread.php?t=2049902.

I am pretty new to rooting and modding and I am still a bit confused about the carrier lock. I get that if I buy a Verizon phone they lock it to their network until it's paid for and I should be able to unlock it now that I am no longer a Verizon customer, I have not actually called them to ask for this. Is this "lock" embedded in the actual SIM card, or some sort of partition in the phones memory that rooting/flashing ROMs does not touch? I assumed flashing a ROM deletes almost all the carrier software except for the recovery partition.

I have the manual to this phone, and I cannot find a spec sheet that lists the radios present inside this device. I assumed because it was "global" it had some GSM radios, am I wrong?

Here is the scenario I want to use this: I'd like to visit a friend in the UK, and instead of bringing my current phone, I'd bring the DInc2 toss the Verizon SIM card in the trash, buy a local carrier SIM card, pop it in and pay my charges and use it for the week. I know you can do that with Nexus phones because they are fully unlocked, would I be able to do this with my DInc2 if I got the Verizon unlock code since flashing a ROM does not unlock it?

Thanks.