I'm not really clear on what a restart entails exactly.
A restart basically starts fresh. It "restarts" the franchise to point 0 without any connection to the past installments or previous characters. The best franchise which does this from time to time and has become a tradition is Final Fantasy. It involves the same lore and a little bit of similarity of plots but is completely new i.e. Crystals, Good vs bad, Fantasy world cities, magic, turn-based combat, etc... All of the mechanisms of the previous games are there but the major characters and sometimes the settings are completely changed.
If you compare say Final Fantasy VII with Final Fantasy XV there are similarities being good vs bad, squad-mates, Materia and Crystals, and magic.
The major difference is the plot Final Fantasy VII is somewhat steam punk and darker while Final Fantasy XV is set in various kingdoms although it used to be more gothic but the devs changed this which is a shame really.
Then we have Mass Effect, now Bioware recently stated that they want the NEXT MASS EFFECT to be "MASS EFFECT" and not a spin off. This has different problems because "MASS EFFECT" To different people is not the same to how others views it. However, since Bioware owns the right and created the Mass Effect universe in the first place I think they have the right to construct what "Mass Effect" is wherein based on my observation and according to Bioware's announcements and articles published
Mass Effect is -> Space, Romance, laser weapons, apparently the Mako, exploration and possibly crafting. That's it and I have no idea or I can't remember if they ever mentioned continuity of lore or save imports because that's what made Mass Effect, Mass Effect for me