Benzene cation atoms is not flagged as aromatic?

[ChemRMB]

I am trying to understand why the benzene cation atoms are not flagged as aromatic.
I do the following:

benzene = Chem.MolFromSmiles('c1ccccc1')
benzene_cation = Chem.MolFromSmiles('c1ccc[c+]c1')

I then look at some atom properties:

print('benzene')
for atom in benzene.GetAtoms():
    print(atom.GetSymbol(), atom.GetIdx(), atom.GetTotalNumHs(), atom.GetFormalCharge(), atom.GetIsAromatic(), atom.GetNumRadicalElectrons(), atom.GetHybridization(), atom.GetTotalValence())
print('benzene_cation')
for atom in benzene_cation.GetAtoms():
    print(atom.GetSymbol(), atom.GetIdx(), atom.GetTotalNumHs(), atom.GetFormalCharge(), atom.GetIsAromatic(), atom.GetNumRadicalElectrons(), atom.GetHybridization(), atom.GetTotalValence())

Which prints out:
benzene
C 0 1 0 True 0 SP2 4
C 1 1 0 True 0 SP2 4
C 2 1 0 True 0 SP2 4
C 3 1 0 True 0 SP2 4
C 4 1 0 True 0 SP2 4
C 5 1 0 True 0 SP2 4
benzene_cation
C 0 1 0 False 0 SP2 4
C 1 1 0 False 0 SP2 4
C 2 1 0 False 0 SP2 4
C 3 1 0 False 0 SP2 4
C 4 0 1 False 0 SP 3
C 5 1 0 False 0 SP2 4

RDKit does not recognize the benzene cation as aromatic. I think it is because the carbon atom with the positive charge is recognized as an sp carbon but I think it should be sp². I think it is believed that the positive charge is in an empty sp² orbital which is orthogonal to the the aromatic pi system. Hence, the benzene cation should be aromatic.

This means that if I do Chem.MolToSmiles(benzene_cation) I get '[C+]1=CC=CC=C1'.
I have even tried to force sp carbon to sp² with atom.SetHybridization(Chem.HybridizationType.SP2) but it just produces the following smiles: '[c+]1=CC=CC=C1'.

When looking on a set of cyclic compounds everything is marked correctly to my knowledge.

cyclopropene
C 0 2 0 False 0 SP3 4
C 1 1 0 False 0 SP2 4
C 2 1 0 False 0 SP2 4
cyclopropenium
C 0 1 0 True 0 SP2 4
C 1 1 0 True 0 SP2 4
C 2 1 1 True 0 SP2 3
cyclopentadiene
C 0 1 0 False 0 SP2 4
C 1 1 0 False 0 SP2 4
C 2 1 0 False 0 SP2 4
C 3 1 0 False 0 SP2 4
C 4 2 0 False 0 SP3 4
cyclopentadienyl_cation
C 0 1 0 False 0 SP2 4
C 1 1 0 False 0 SP2 4
C 2 1 0 False 0 SP2 4
C 3 1 0 False 0 SP2 4
C 4 1 1 False 0 SP2 3
cycloheptatriene
C 0 1 0 False 0 SP2 4
C 1 1 0 False 0 SP2 4
C 2 1 0 False 0 SP2 4
C 3 1 0 False 0 SP2 4
C 4 1 0 False 0 SP2 4
C 5 1 0 False 0 SP2 4
C 6 2 0 False 0 SP3 4
tropylium
C 0 1 0 True 0 SP2 4
C 1 1 0 True 0 SP2 4
C 2 1 0 True 0 SP2 4
C 3 1 0 True 0 SP2 4
C 4 1 1 True 0 SP2 3
C 5 1 0 True 0 SP2 4
C 6 1 0 True 0 SP2 4

Is the hybridization and aromaticity set as intended or is there something wrong with how RDKit handles it?