There is a simple (common sense) proof.

Half both capacitances (A and B).

By erasing the second chain of 7 series capacitors that A has.

Similarly, remove the lower capacitor, from each of B's 7 capacitor pairs.

This should result in two apparently identical circuits.

Since identical circuits have identical capacitance's (assuming the same capacitor values are used for both). Hence 'YES', the same.

Similarly a theoretical analysis, using capacitor formulas, would also give the answer "'YES'.

So although the answer this gives would be 'YES'.

In practice (real life), one could be nasty and say the answer is 'NO'. Because, in general, no two capacitors, have EXACTLY the same value. Due to small variations in values (due to tolerance etc).

So my final answer is ~~NO~~, YES because it is over the Christmas period, so I should be nice.