The main point is, that you are both related to this person by DNA.
The actual relationship is up to you to work out, no chart can do that for you. In the absence of a decent paper trail, the charts can only estimate a relationship.
The fact that you and your brother are indicated as having a different relationship with this match just goes to show how you cannot work it out at all without some knowledge of your ancestors and those of the match.
You say you don't find DNAPainter particularly user friendly - you don't have to use DNAPainter to use the chart.
Or you can view the original one at -
https://thegeneticgenealogist.com/2017/08/26/august-2017-update-to-the-shared-cm-projectHowever, you can't input your own figures here like at DNAPainter.
If you click on 'Predicted relationship. Possible range. What does this mean?' at ancestry, you will see they talk about degrees of separation. This is another way of putting Blaine Bettinger's chart into practise.
Also, compare you, your brother and your match directly at myheritage to see where you differ. This could explain the apparent anomaly between 1st cousin twice removed and 2nd cousin once removed.
DNAPainter use genetic genealogist chart, which relies on user submitted values, but DNAPainter also uses DNA geek's calculated figures. Somewhat confusing!
Basically, it is up to you and your match if willing and able, to work it out.
Regards Margaret
Added
As for your original question, 1st cousin twice removed and 2nd cousin once removed - are you fairly young, or getting on a bit?
Proven 1st cousins twice removed share grandparent of one match, 2G grandparent of the removed match.
Proven 2nd cousins twice removed share great grandparents of one match, 3G grandparents of the removed match.
So it depends whether you are the full cousin or the 'removed'.
