Yes, the differences should be small at about <10% and for indications that may be good enough.
But without knowing the assumptions made, one could run into difficulty when extending its usage. Are the errors still small for other durations? People love to extend the use of an indicator, right?
Check https://en.wikipedia.org/wiki/Forward_rate - the formula you use is for the continuously compounded forward rate - except you use SMAs for the data points. I’m good now.