Suther, it depends on your rifle.
Some rifles with twist rates designed for longer/heavier bullets will shoot light bullets well at lower velocities.
If you try to use light bullets in rifles that have a fast twist rate, as some 7 mm rifles do, then shooting light bullets out of them at the velocities they're capable of being pushed just doesn't work, to the point of spin induced stress to the jackets, causing them to come apart in flight.
I've loaded light rounds for my 7-08 and the few 7x57 rifles I have on hand.
Most 7-08 barrels will have a 1-9 or slightly slower twist and will hand the 97-100 grain light bullets quite well.
The only drawback comes for those with very long throats which a few seem to have
I had a lovely Mod70 Win chambered for the 7-08 with a 1-9.5 twist and it wouldn't shoot ''jacketed'' flat base bullets lighter than 120 grains well, but it shot an 85 grain powder coated cast bullet very well, into sub 2 moa at 100 yards at velocities that were fine for bunnies.
I wish I still had access to those bullets. The fellow that owned the mold, went onto the happy hunting grounds a few years ago and all of his stuff went to relatives I don't know.
I even went so far as to try to develop a consistent load with patched #2 Buckshot, which is about as close as you can get that will work in the 7mm bore, where the minor diameter is around .277, which requires a patch.
My other 7-08 is a Remington, with a 1-10 twist rate and it shoots jacketed Hornady 100grn, flat base bullets very well out to 100 yds, right around 1.5 moa consistently.
I load it with a charge of 25grn RL7, over CCI 200 LR primer and held in place with Dacron fibre.
This gives me velocities that are much lower than those listed in manuals for other powders.
Many people believed I was building a dangerous ''squib'' load. I don't believe that because the Dacron fibre keeps the powder right up against the primer and takes up the rest of the airspace, making for a controled burn of the load, which would likely be dangerous if the Dacron fibre weren't used.
Finding 100 grain 7mm bullets is difficult, especially over the last couple of years.
Almost as difficult as finding Flat nose 25 cal 117 or similar weitht bullets.