If you are referring to GLoTX Resolution #16, if adopted as written, it would apply to the MM degree only, NOT the FC degree.
So it is. The Texas move of the staircase lecture from the SD advancing along the north to the WM standing in the east is one of those neat ritual details from jurisdiction to jurisdiction. Interesting that a walking lecture would end up happening in a different degree if the lodge so chooses.
Something I'm puzzled about - I've never heard of any stage directions for any of the lectures other than for the staircase lecture presented by the SD in those jurisdictions that do their second degrees that way. As such I believe walking around while giving one is not a change in ritual and thus doesn't need permission of this sort. I get that permission needs to be forced when a decision has been issued about it like with Recommendation #2 which indirectly attacks CofR. Has there ever been a decision against walking around during a lecture? I only know of one brother who walks around while presently one lecture and he isn't in Texas.
A number of jurisdictions use the "Paul Revere" charge to the lodge during installation. I heard it during a Texas installation recently so Texas is one of them. One of my favorite installing officers walks around the lodge while reciting the Paul Revere charge. He speaks to specific people as the lecture progresses. It's a very effective delivery method. No one has ever objected to his delivering that particular lecture like that. He's in a different state so different rules and all that ...
Table Lodge presentations are not lectures. It states that in the ritual booklets I've seen for Table Lodge. A number of presenters do walk around while giving Table Lodge responses and discourses. I'm one of the walking presenters. The only time I've walked during a lecture recitation is for the staircase lecture as SD, though.