Two thumbs up for that suggestion as well. I've seen it in my own family: my daughter started off in 2nd grade with out-of-school piano lessons... 5 years of them. When she got into jr high school she took up French Horn and choir. At the same time she was in a handbell choir (talk about having to count!!). Three consecutive years in Provincial High School honors band. When she got to University there really wasn't much that she wasn't prepared for. Within 3 months of graduation she was teaching music at a conservatory (and represented our province at the National Music Competition two years ago). She can "one-shot" sight read a dang lot faster (and better) than I can "read" with a month of preparation (which has proven very handy when she gets last minute "calls").
You can't have too much experience, in my opinion.