Agree...and low limbs help the kids climb.
No climbable/structural low limbs would be likely to be removed. Leaving it as is now means it will be hacked hard later when it becomes egregiously overgrown. More frequent/smaller cuts are better than less frequent/larger hacks.
Trimming it correctly now will result in a fine looking, structurally more sound tree which looks natural and doesn't look like it was just trimmed. And it will be more inviting to climb because the interior canopy will be more open. Light trimming won't encourage excess sucker growth that hacking will cause.