I suppose it could work, but you already could do it this way once everyone is there, queue via LFG. Which will port you to the contact (and possibly scramble the order), or start the instanced TF/Trial. So in one case, it's an extra step.
Of course at the end of an instanced trial, you pop out wherever you entered the base from or possibly where a portal would drop you into the zone. At least that's what has happened with me when joining in progress trials.
Note, this can cause some issues with mixed alignment teams.
All in all, I don't think the suggestion will do what you want and just have a extra step, or a different step that people will have to take. And most people join a TF to do the TF. Sometimes after a TF, I'll pop thru the leader's base to check it out, but not often.
I think Dacy & Easter Bunny have more solid plans for base encouragement: