For something like that situation You could remove the aluminium channel.
Then cut a hole behind it big enough to fit the wagos.
Connect the led tape and then push the connectors into the hole and then replace the aluminium channel which will now hide everything. Just make sure you test all the colours before sticking the led to the channel.
I'm sure some other people have different ways of doing it.
I have used the Wago 224 which is in-line rather than parallel of the 221 which makes it a little more compact, but it's still cumbersome.
I spoke to wago about a specific rgbw connector and they said they are working on it... wouldn't hold your breath though!
I did buy some of them but wasn't that successful soldering a cable on because there's no hole in the tabs to secure the wire. Have you got a photo of the finish joint?
These look interesting.