SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    10529, 10528, 10527, 10526, 10525, 10524, 
    10522, 10495, 10494, 10493, 10492, 
    10491, 10490, 10489, 10488, 10487, 
    10486, 10485, 10483, 10482, 10481, 
    10480, 10479, 10478, 10477, 10476, 
    10475, 10474, 10473, 10472, 10471, 
    10470, 10469, 10468, 10467, 10466, 
    12582, 12583, 12584, 10465, 10464, 
    10463, 10462, 10461, 10460, 10459, 
    12581, 12699, 12698, 12697, 12696, 
    12695, 12694, 12693, 12692, 12691, 
    10447, 10448, 10449, 10450, 10451, 
    10452, 10453, 10454
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00203

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 128,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (10529,10528,10527,10526,10525,10524,10522,10495,10494,10493,10492,10491,10490,10489,10488,10487,10486,10485,10483,10482,10481,10480,10479,10478,10477,10476,10475,10474,10473,10472,10471,10470,10469,10468,10467,10466,12582,12583,12584,10465,10464,10463,10462,10461,10460,10459,12581,12699,12698,12697,12696,12695,12694,12693,12692,12691,10447,10448,10449,10450,10451,10452,10453,10454) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'ru' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
    }
  }
}