for that matter vs with

for that matter

• as far as that is concerned. 

with

• In regard to. 

• Against. 

• In the company of; alongside, close to; near to. 

• Having, owning. 

• In addition to; as an accessory to. 

• Using as an instrument; by means of. 

• Used to add supplemental information, especially to indicate simultaneous happening, or immediate succession or consequence. 

• Prompted by (a certain emotion). 

• Keeping up with; understanding; following along. 

• Affected by (a certain emotion or condition). 

• In the employment of. 

• In support of. 

• Along, together with others, in a group, etc.