As a major guacamole and mashed potato fan the answer is no. Too many major differences. Potato is a vegetable and avacado is a fruit. Mashed potato is primarily potato with spices and an oil while guac is a fruit with a few other fruits, fruit juices, vegetables like onion, and some spices. Guac also functions primarily as a dip while mashed potato is stand alone with the ability to function as a dip.

But is Irish guacamole just Peruvian guacamole served in Ireland?

They will not take away my mash n toast

Guys is this mashed thing this other thing because it's mashed too?

This would be true if a potato was a fruit.