As much as he'd like that, he may not be allowed to do it.
That april fools joke represented a special situation in which, as far as I suspect, special approvals were given. What you are asking for are lines from an actual LucasArts product, which they specifically took out from the Special Edition (with a good reason, so that fans stop calling them and ask them about the special disks

)
If you really really really want or need these lines, may I suggest two options:
- You should ask LucasArts for approvals, then ask Dom if he wants to record those lines. Be aware that LA doesn't usually say yes to fan projects.
- You could get someone else to voice those lines, mimicking Guybrush's voice. While it's not the same thing, you can avoid the entire "Please LucasAts ohpleaseohpleaseohplease!" routine.

- Eat chicken soup. While it's irrelevant to your situation, it's actually quite good, especially when you've got a cold.
Due to the strange laws in the voice acting business, some voice actors are totally okay to record for fans while some voice actors are also totally okay to record for fans but can't do that.
Best of luck, dude!