By large umbrellas, I mean the non-collapsible ones that look like these :
Will there be any issue with bringing around a long, pointy object on aircraft?
You can't be sure of it. I've had an umbrella like that confiscated by security in Brussels Charleroi.
It depends on the airline, as do some other allowed/prohibited items. (For example, the TSA changed the rule prohibiting cigarette lighters some years ago, but some airlines still do not allow them.) As for umbrellas, United allows them.
It won't be an issue due to pointiness. Knitting needles are allowed too, and they're even pointier. The only possible issue would be if the overall length is deemed excessive...which is unlikely on a regular commercial flight. Worst case the crew might ask to take it from you and store it in their "closet" on board.