. right front wheel & hub assembly gets super hot.

The caliper may be bound up , there's nothing to retract them once you apply pressure they just relax . You'll see other cars with discolored wheel covers from brake dust from this . When I do a brake job I shoot some penetrating fluid under the piston boot before I compress it into the caliper . No shop in the world will do this and many will say not to but I've done dozens of brake jobs this way and never had a problem or replaced calipers . Your new caliper may junk . Shops love to replace calipers and run up a $1,000 dollar bill for a brake job . There's a possibility that the brake hose has collapsed internally but then the brakes lock up usually .