More than that. In my opinion, it's better to offer lots of small equal opportunities (which means certain forgiveness) than one big equal opportunity (which you can get easily wrong). That's why I would favor a minimum basic income, which gives people a small opportunity to do better every month, although it has its downsides, too (I wouldn't want to replace all public services with it).
Also, this only addresses the low-end of the inequality, for example people being poor. But inequality (of power, money are just a proxy for that) also causes problems at the high-end, because power corrupts and the more power you have, more corrupt you can become. So it is desirable to limit that too.
I wouldn't mind if there was a cap on personal wealth (say $10M), but many people feel it's wrong. I don't think it's necessarily unfair, I mean if economics is a competition (and not a power grab), in other competitions you don't get an advantage if you have been previously a winner (for example, Usain Bolt doesn't get to start 10m ahead because he won all the races up to that point). Even though people in other competitions start at the same line again, it actually doesn't seem to affect their willingness to participate. I don't know why people believe business should be any different.