Yes, I do have a 13" mid-2010 and when I bought my 15" mid-2010 I did run AHT in the store because I am that thorough. I did not use the DVD, I pressed a key to boot into AHT.
When I booted into Apple's site via Ethernet with the 13" mid-2010 i have now that I bought as a refurb that shipped with 10.6 but have since updated it to 10.7, I got the Apple globe icon and then it got an exclamation point over it and an error message. So, I was not able to boot into Apple.
Mid 2010 MacBook Pro 13"
2.4GHz, 750GB SATA HD, 8 GB RAM, OS 10.7.5
1 HDX1500 2TB Ext.HD, 2 HDX1500 1TB Ext.HD
HP Laserjet 6MP printing postscript via 10/100 Intel print server
Netgear WN2500RP Range Extender (Ira rocks!)
Linksys WRT1900AC Wireless Router
Brother MFC-9340CDW Color Laser
iPad Air
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