There seems to be indeed some correlation between maximization and self-esteem (as can be seen even in the wikipedia page). However it doesn't necessarily predicts low self-esteem.
Quoted from wikipedia:
Initial research on maximizing showed uniformly negative outcomes
associated with chronic maximizing tendencies. Such tendencies were
associated with lower happiness, self-esteem, and life
satisfaction;2 with greater depression and regret;2 with lower
satisfaction with choices; with greater perfectionism;3
and with greater decision-making confusion, commitment anxiety, and
rumination ... However, as disagreement over the definition of maximizing
grew, research began to show diverging effects: some negative, some
neutral, and some positive
Interestingly, those results closely resembles studies regarding correlation between "perfectionism" and "self-esteem" (perfectionism being a similar concept to maximization which you described).
There have been many studies, but in general, perfectionism can be detrimental only when it's maladaptive/ neurotic. On the other hand, positive/adaptive perfectionism tend to correlate with positive emotions, which can factors in a more positive self-esteem.
Some studies further classified that perfectionism coming from one-self is associated with adaptive aspect of perfectionism, and thus more related to positive emotions. While perfectionism that comes form social environment (imposed/prescribed by others), is more associated to the maladaptive aspect. As discussed in this article.
It somewhat make senses considering the definition of "self-esteem". In general, self-esteem is defined as how we evaluate our own worth, which starts early in infancy. It affected by many factors which may changes across lifetime (for example in childhood and teens), but in general it's largely affected by social factors.
So in summary, it's possible that being a maximizer (or being perfectionist in general) correlated to low-self esteem. But it depends on how exactly the maximizing is.