Right- I wouldn't leave it pinched for long without knowing the type of fuel line and I would doubt it's actually made for fuel that contains Ethanol. The line seems OK, but the mower is from 2011, if I'm reading the serial number correctly (first six characters are the date, right?)
I had to replace fuel lines on a few of my snow blowers in the past and on many boats because of the Ethanol and it's just cheap insurance.
A tournament ski boat manufacturer sent a service memo to dealers about fuel lines delaminating internally because at the time, MTBE was added and it gave mechanics fits because it really wasn't expected in boats that were only 5 years old (this was in about 1998).
Ethanol in fuel needs to go away.