"Even if it is originating from a Roth account?"
With Roths, since taxes are paid up front, all growth and withdrawals are tax-free once you hit 59 and a half. But there's another advantages as well: after your first Roth is 5 years old (and remember, opening it on April 15th means it's already 15 and a half months old, since it was "established" on January 1 of the tax year it's used), all raw contributions are accessible, tax-free and penalty free, regardless of your age. Now...you wouldn't want to do that, since you'd be destroying a tax shelter, but in an emergency, it's still your money, and still accessible. IOW, if you've invested $5K a year for 5 years, and it's grown to $40K, you'd have access to the $25K you've put in, just not the $15K earnings until you get to retirement. Also, with Roths, there is NO Required Minimum Distribution once you hit 70 and a half, like there is for 401(k) plans, Traditional IRAs, and SEP-IRAs.
"There was an option to choose a Roth or Traditional, and Traditional seemed like a bad deal in comparison. Not sure who the Traditional, non-Roth accounts are aimed for.... folks who think there will be a better tax situation in the future?"
Yes, the two ideal times for a Traditional IRA are when you're in a strastospheric bracket now, or know you're headed into a lower bracket in retirement. Also, the closer you are to retirement, the more attractive a Traditional IRA looks, since it takes a while to make up for the upfront taxes paid with a Roth. Folks close to retirement who don't have a lot of savings almost always opt for the Traditional IRA. Generally speaking, the younger you are, and the lower the tax bracket, the better deal a Roth is, while the closer to retirement and the higher the bracket, the better Traditional IRAs look.
"There would be more money to tax at the end of 30+ years of compounding interest."
True, but I've got clients who were putting it away at 31% (state and local rate) a few years ago, and now are paying it back at minuscule rates (under 10%) in retirement. It just all depends on your particular situation. That said...if I could snap my fingers and change ALL my Traditionals to Roths, I would, of course. I just don't want the massive tax bill, and I absolutely WILL NOT take money out if it puts me in a higher tax bracket.
A lot of new retirees or semi-retirees live on their Roths for a few years until full retirement and full SS, then start taking money out of their Traditionals, when they have no other taxable income from work. Ultimately, having both Traditionals and Roths is a good mix, you can muck with your tax rates very easily that way. In addition, if you have a good cause to donate to at the end of your life, you'd want to give them the Traditional IRA, and save the Roths for humans.