If my opponent used Latios GX's "Clear Vision GX" attack on me, could I use Channeler to remove that effect?
Yes you could, because Channeler removes effects from both you and your Pokemon.
Source: TPCi Rules Team (2019-08-01), TPCi Rules Team (2019-09-05)

Relevant cards

Note: All applicable cards may not be listed below.
SM11_190
SM11_190
SM11_223
SM11_223
SM11_232
SM11_232
SM11_243
SM11_243
SM11_78
SM11_78