It's an easy trap to fall into, in training. Though I'm a stand-up fighter, when I'm training and teaching on the ground, I tend to focus on the ground and my approach slips toward the BJJ concepts of controlling down there. I have to specifically put in training where we get taken down (or start from kneeling) and have to rise, to counter that tendency.That's pretty common. However if you spent more time building your takedown offense, your takedown defense would also improve as a consequence.
This is an area which is sadly often neglected.
Standup arts tend to not cover it at all or else come up with bogus methods which are ineffective because they've never been tested against a competent opponent.
BJJ practitioners often neglect it because they typically want to fight on the ground.
Judo players often neglect it because a) a match can be ended by a good throw and b) groundwork time is limited, so it's easier to just stall and wait for a standup then do the work of fighting to the feet.
Freestyle/folkstyle wrestlers are some of the best at escaping to the feet. Modern MMA fighters are getting good at it too.
I periodically make my students practice sparring where they have to get back to their feet after a takedown. I think that without that practice it's too easy for BJJ players to get complacent on the ground.
If a standup striker asks me what I can teach them of value in a short time, my number one answer is to show them how to escape bad positions on the ground and get back to their feet safely.