Taking all this at your word even though the house plan isn't going to be anywhere close to the final plan...and personally I'd say it's not the upper middle class that needs the tax break so they can send Jr to baseball traveling teams...it's the lower side of the middle class that needs the help to you know...buy clothes.
The Senate plan is actually more generous for me. Didn't run it for lower incomes.
I re-ran the numbers for the scenarios I gave above using the Senate proposal. The only significant differences between House and Senate for purposes of my scenarios are (1) Senate provides a slightly larger CTC of $2,000, and (2) Senate's tax brackets are less progressive than the House.
For every scenario (100k AGI, 80k AGI, and 60k AGI, 3 kids versus 1 kid), the Senate tax cut is smaller by about 1/3. This is because, even though the Senate provides a larger CTC, the brackets are less progressive. By contrast, the Senate plan provides a more generous cut at higher AGIs.
Bracket comparisons for House and Senate are here:
https://www.cnbc.com/2017/11/17/how-the-senate-and-house-tax-brackets-compare.html This is the only part of my math I didn't show but it's not hard to calculate.