You don't need to dry hop for 7 days at room temperature unless you are adding them quite early on, though it certainly isn't the end of the world. co2 scrubbing is not what I'd be looking at if you have no hop aroma from 7g/L, I'd be looking at the variety used, age and condition and if they've actually broken up in the beer. I'm sure they have, but you never know. I've had them clumped together at the bottom especially when the vacuum packaging has been aggressive.
I've started dry hopping when the beer is 'done' but not yet confirmed with successive unmoving hydrometer readings because it soon will be. You start to get a feel for attenuation and certain strains and you just know that a big beer is not going to shift much from .010 at this point based on activity and the fact it is cooling off. If it does it'll be fractions of points.
I also tend to seal up at this point because I'm going to be cold crashing soon and I don't want suck back. Also I can shake the fermenter easier half way through the dry hop.
Commercially we get all sorts of problems with beer coming over in tanks from dry hopping during active fermentation or warm. It is nice to be able to drop to 16C because this stabilises the co2 enough to limit it though it is a toss up between the beer being done, the beer having time to chill, having long enough on the dry hop and needing the tank or needing to package. We like to make a slurry, but it will introduce oxygen so we like to use dry pellets, but getting them to break up (especially certain types, galaxy, simcoe, el dorado, high alpha more expensive ones where they seem to add a lot of fibrous material) isn't a given so we'll carefully blow co2 in through the bottom to rouse them back up into suspension. This is also why we like to double dry hop (less risk of compaction thus better utilisation at the bottom of the conical). This is why more high tech setups employ hop torpedo, cannons, rockets etc. Also we love fermenting under pressure because you aren't blowing off more than needed and you aren't getting the fobbing.
Anecdotally I recently stuck to my guns regarding wort being transferred onto dry hop before pitching. This was a stupid idea and you'll lose aromatics during fermentation, yeast will drag the hop oils to the bottom, they'll all stick to the tank at high krausen, biotransformation is real but are you sure this yeast has an active gene for encoding beta glucosidase enyzme, it might work, but is it best use and so on. We fermented under pressure (22psi) and I had to take it back because the beer smelt and tasted like sweets and mango juice even before the rest of the dry hopping regime. I'd have to AB it to see if it was a better use of the dry hops, but under a pressurised ferment co2 did not scrub much from those hops.