That is the likely to be the "blocking" cap in series with the probe on AC Volts. You did well to use a hi voltage cap, but using a 0.1 vs the original 0.01 uF may load down the circuit under test and make your measurements less sensitive. Your meter may read slightly lower than the actual value being measured.
Rich
PS: I was confused by your title "Heathkit Tube Tester." This device does not test tubes.
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It is a DC-blocking cap, but feeds a voltage divider of about 1.2 Meg. Loading effect is probably negligible.
http://heathkit-museum.com/test/images/v-7aa.jpg
Rich