Tenor banjo (like mandolin) chords contain notes over a wider range than uke, and most people think the chord shapes are harder. I do, too, so I never went ahead with tenor banjo. By the way tenor banjo is almost always strummed, and 5 string is almost always picked, if you're not sure about playing styles.
I strung up one of my 5 strings with long tenor banjo strings, and capo'd up for a test. It sounded great, but felt limited. And in my mandolin playing days I only mastered a few chords - most of the chord shapes are too hard and not instinctive. Of course if you are playing New Orleans style you only need a few chords, 7ths mostly and they are easy. But I think you will find the chords way different from uke, you will have to think completely different.
If you really like the sound you should try it, you only live once. Learning two systems is a challenge, but your brain can take it. And if you tune the instrument like a baritone uke it won't sound the same. It's the wide spread of high to low notes that make it zing.