I have been practising for a while now but seem to be touching the strings that are lower.

(I am new to this so my notes may be wrong)
Question

Is it good practice to play the spider legs exercise with this variation?

Starting with the 6th string play the F with index finger, then play the 5th string open,

Next is F sharp (i think) with the middle finger, then play the 5th sting open again.
Carry on doing this till I reach the D on the 2nd string (with 3 finger exercise) or D sharp (with 4 finger exercise)

Basically playing a lower open string after each fretted note

Will this help me play independant notes or am I using bad habits