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 (
    10202, 10198, 10496, 10190, 10193, 10194, 
    10195, 10095, 12629, 12627, 12628, 
    10142, 10143, 10141, 10137, 10138, 
    10139, 10134, 10135, 10603
  ) 
  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 0.00049

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": 40,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (10202,10198,10496,10190,10193,10194,10195,10095,12629,12627,12628,10142,10143,10141,10137,10138,10139,10134,10135,10603) 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)"
    }
  }
}

Result

product_id seo_name seo_path
10095 kingsman-games-col-05 265/280/286/1666
10134 podushka-dekorativnaya-simmetrika-i-01-45x45 265/271/275
10135 product-10135 265/271/275
10137 podushka-dekorativnaya-target-soft-04-45x45 265/271/275
10138 product-10138 265/271/275
10139 podushka-dekorativnaya-persona-03-50h50 265/271/275
10141 podushka-dekorativnaya-simmetrika-i-02-v-50h50 265/271/275
10142 product-10142 265/271/275
10143 product-10143 265/271/275
10190 podushka-dekorativnaya-garmoniya-grafika-07-30h50 265/271/275
10193 podushka-dekorativnaya-garmoniya-bukle-05-30h50 265/271/275
10194 podushka-dekorativnaya-garmoniya-grafika-09-30h50 265/271/275
10195 podushka-dekorativnaya-magnifico-05-30h50 265/271/275
10198 podushka-dekorativnaya-salon-01-30h50 265/271/275
10202 podushka-dekorativnaya-salon-04-30h50 265/271/275
10496 podushka-dekorativnaya-erwin-ii-03-30h50 265/271/275
10603 product-10603 265/271/275
12627 tureckiy-kover-botanica-bone-bone-200x300 265/266/267
12628 tureckiy-kover-elegant-bone-bone-200x300 265/266/270
12629 tureckiy-kover-zebra-bone-bone-200x300 265/266/270