What can you conclude about Egeus's attitude toward his daughter's place? no
What I can conclude is that Egeus believes that his daughter's (Hermia's) place is to obey him in all ways. In this way, he is a very old-fashioned (at least to my mind as an American in the 21st century) father.
We can see that Egeus feels this way because he does not want to give Hermia any choice in who she is going to marry. This means that he pretty much wants to control her life and make the big decisions for her. This (we are told) was quite common in long-ago times when fathers believed that their children were sort of like tools -- they expected to use their kids, for example, to improve their own status or their own business connections.
So I think that Egeus is like that. He wants Hermia to marry someone who can help him and he wants to be absolutely sure that she obeys her father.