You'd be hard-pressed to find anyone (under the age of 50 at least) that would actually think the '71 team was better than the '95 team.
The '71 team was pretty much just as dominant in their era as the '95 team was in theirs. '71 Nebraska did have one close game, but it was against Oklahoma, who after that season was considered the second greatest team of all time.
34-7 vs. Oregon
35-7 vs. Minnesota
34-7 vs. Texas A&M
42-6 vs. Utah State
36-0 vs. Missouri
55-0 vs. Kansas
41-13 vs. Oklahoma State
31-7 vs. Colorado
37-0 vs. Iowa State
44-17 vs. Kansas State
35-31 vs. Oklahoma
45-3 vs. Hawaii
38-6 vs. Alabama
The final poll of the season was:
1. Nebraska
2. Oklahoma
3. Colorado
4. Alabama
In my opinion, that kind of dominance makes '71 Nebraska an extremely close second to '95 Nebraska in the GOAT debate, and if anyone said '71 was better, I wouldn't have a problem with it.
Notably, both Nebraska teams played significantly tougher schedules than 2004 USC and 2001 Miami, and neither had a close game against an average opponent, like USC and Miami both did.