The basic welding symbol consists of a reference line and an arrow. That welding symbols essentially says, "weld here" without defining the type of weld required, i.e., fillet, groove, plug, slot, etc. Any additional information simply adds more information and direction for the welder.
There is nothing wrong with specifying the tack weld as fillet welds of a certain size and length if that is what is required. The detailer can use multiple reference lines as a means of specifying the tack weld on the reference nearest the arrow and the required production weld on the second reference line. A reference in the tail can direct the reader to a note that tells the welder when the final production weld is made. If the tack weld is used to hold members in alignment for subsequent match drilling and bolting or machining for example, all that is needed a single reference line with the appropriate weld symbol (weld type), size, and length is all that is necessary.
Welding symbols with multiple reference lines are useful to designate the sequence of operations and can combine welding and NDT requirements in a single combined welding/NDT symbol.
Additional information on the subject can be found in AWS A2.4 Standard Symbols for Welding, Brazing, and Nondestructive Examination. Every professional should have access to the latest edition of A2.4. Other reference sources usually have information on welding symbols that is outdated. I saw one, I will not say which one it was, but I will say it was recently purchased and it listed welding symbols that were 30 years out of date.
Best regards - Al