I don't think it is hun, pretty sure Eucalyptus kills about 99% of germs whereas lavender just smells nice? Could be wrong! I fill up a 2 litre bottle of water, then add a capful of euc oil and one of lavender oil and use that as a fabric softener - so you could use both together? Smells pretty nice!
How much of the mixture do you then use each time Tan? ALso, do you have a front loader or a top loader? After seeing a friend's front loader spewing literally buckets and buckets of soap all over the house I'm very wary about what I use in mine now ;-)