You can't cut the top of the blooming trunk or it will stop blooming and die. This is known as a 'monocot' so it has only one growth tip. It will not branch. If your friend cuts down that tall trunk next winter, she may be waiting another year or two for the next stem to bloom. If she waters and fertilizes it generously this summer, it will grow, and put up pups quicker of course. I don't think she can keep it small, and expect it to bloom though. These just are big plants and they need to be mature to bloom. There's one at Selby Gardens that's at least 35ft. tall.
I have several huge old clumps, and we cut the three biggest 18ft. trunks out of this clump last winter. It is now blooming on the second-tallest stem which is @ 10ft. tall, the bloom is way down low. I think it will progressively make blooms further up the trunk as the season progresses. It's also making new pups like crazy. I don't 'encourage' these plants at all because they're really much too big for where they are planted.